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Finding the Fourth Proportional to 312,374.32, 431,076.77 and 169,134.46

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Solution

The fourth proportional to 312,374.32, 431,076.77 and 169,134.46 is: 233,405.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,374.32 : 431,076.77 = 169,134.46 : x
  2. Step 2: Convert to fraction form
    312,374.32/431,076.77 = 169,134.46/x
  3. Step 3: Cross multiply
    312,374.32x = 431,076.77 × 169,134.46
  4. Step 4: Simplify right side
    312,374.32x = 72,909,936,712.49
  5. Step 5: Solve for x
    x = 72,909,936,712.49/312,374.32
  6. Step 6: Final answer
    x = 233,405.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.